Advances in Dynamic Games and Applications

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Springer Science & Business Media, Dec 6, 2012 - Mathematics - 347 pages
Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals.
 

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Contents

Modelling
3
papers on dynamic games involving deterministic dynamics and the second
5
A Historical Perspective on Cooperative Differential Games
19
Certainty Equivalence Principle and Minimax Team Problems 31
30
The Impact of Different
45
Mixed Strategies for Hierarchical ZeroSum Games
65
The Existence and Uniqueness of Equilibria in Convex Games with
78
Stochasic Games
99
Perturbed ZeroSum Games with Applications to Stochastic
165
Construction of Singular Surfaces
185
Parallel Algorithms for the Isaacs Equation
203
Computation of Sadapted Equilibria in Piecewise Deterministic
224
Comparison of Two Numerical Approaches for the Barrier and Value
253
On Optimal Missile Guidance Upgrades with Dynamic Stackelberg
275
Computation of Level Sets of
295
The Tragedy of the Commons Modelled by Large Games
323

On Stochastic Hybrid ZeroSum Games with Nonlinear
129
On Multichain Markov Games 147
146

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